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This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Solve the following simultaneous equations using Cramer's rule:x+2y1, 2x-3y 12 |
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| 2. |
Solve the following simultaneous equations using graphical method.2x +yli)6; 3x + 4y4 |
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Answer» Red line is 2x + y = 6Blue line is 3x + 4y = 4 Point of intersection is (2,-4) |
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| 3. |
LA Salid right circular cylinder of height 1:21m andno diameter 28 m is melted and recast into Iequal Solid Caber. Find the edge d each cale,17.00 |
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| 4. |
Name any two objects as observed in dailylife, which have the form of:(a) cuboid (b) a cube |
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Answer» A) shoe box, microwave oven B) dice, Rubik's cube |
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| 5. |
harmadrove his car 30 km 550 m fromfice, 13 km 475 m from his office to t8 km 230 m from the market to his hs the total distance he drove? |
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Answer» 1 m=10^-3 kmso total = 30.550+13.475+8.230=52.255 km52 km 255 m |
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| 6. |
EXERCISE I.7Solve these word problems.1. The height of 10 boys is given in cm.143, 132, 149, 148, 151, 146, 135, 128, 139, 150What is the average height?2. The ages of 10 children who joined the skating camp were 6 y9 years, 8 years, 7 years, 11 years, 9 years, 7 years, 10 years,Find the average age.3. Find the average savings per month if the yearly savings of R4. The sum of seven numbers is 497. What is their average? |
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Answer» 1. average height of 10 boys are=(143+132+149+148+151+146+135+128+139+150)/10=1421/10so average height=142.1 |
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| 7. |
( 8 a ^ { 3 } \div 27 x ^ { - 3 } ) ^ { \frac { 2 } { 3 } } \times ( 64 a ^ { 3 } \div 27 x ^ { - 3 } ) ^ { \frac { - 2 } { 3 } } |
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Answer» (8a^3 ÷ 27x^-3)^2/3 * (64a^3 ÷ 27x^-3)^-2/3 =[(2a)^3*2/3 ÷ (3x)^-3*2/3)]* [(4a)^3*-2/3 ÷ (3x)^-3*-2/3] = (4a^2 * 9x^2) *[(1/16a^2)÷9x^2] = (4a^2*9x^2) / (16a^2*9x^2) = 1/4 |
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| 8. |
27 x^{3}+9 x^{2}-3 x-10 ) \div(3 x |
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| 9. |
( i i ) ( x ^ { 4 } - 81 ) \div ( x ^ { 3 } + 3 x ^ { 2 } + 9 x + 27 ) |
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Answer» (x^2-9)(x^2+9)/(x^2+9)(x+3)=(x-3)(x+3)/(x+3)=x-3 |
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| 10. |
\frac { 9 \div 2 \times 27 \div 9 } { 18 \div 7.5 \times 5 \div 4 } = ? |
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| 11. |
( \frac { - 5 } { 9 } x \frac { 27 } { 15 } ) + ( \frac { - 13 } { 14 } \times \frac { 28 } { 39 } ) - ( \frac { 5 } { 11 } \div \frac { 15 } { 44 } ) \div \frac { - 4 } { 9 } |
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| 12. |
(i) 103 Ă 104 |
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Answer» 103×104=(100+3)(100+4)=100^2+(3+4)100+3×4 (since,(a+b)(a+c)=a^2+(b+c)×a+a×c)=10000+700+12=10712 |
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| 13. |
( 81 ) ^ { 5 } \div ( 3 ^ { 2 } ) ^ { 5 } \quad ( 1 i ) \frac { 9 ^ { 8 } x } { ( 27 ) ^ { 4 } } |
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Answer» (3^4)=81hence (3^4)^5/(3^2)^5=3^4/3^2=3^2=9 |
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| 14. |
78 \div [ - 4 + ( - 3 ) \text { of } \{ 27 \div ( - 18 \div - 2 ) \} ] = ? |
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| 15. |
८ (दि ् V(79 \&‘st:‘_ $o Moy T h‘wj_b—% ft (‘. पे _. '91900९)59/ कु; 10 \ppealq हे श्र “ ४५० ९०1९ 9५1.| 08 109|/0710 कै। |. 6! g+ U ) Aq (91 गा की ayrapma ‘9 |
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Answer» If you like the solution, Please give it a 👍 |
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| 16. |
The number of visitors to a tourist spot increased from 25 lakh in 2008 to 28 lakh in 2009. Calculate the rateof increase in the number of visitors to the tourist spot. |
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| 17. |
triangle ABC. UningiBE wndCF are rwe, equal ali mides ofwk, pove that the brangle AtiC is isosceles.14. |
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| 18. |
6. Find all zeroes of polynomial 2x-3x-3x2 +6x-2 given two of its zeroesare 2 and -/2 |
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Answer» Thank you |
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| 19. |
14. In an examination, the pass mark is 40%. If acandidate gets 65 marks and fails by 3 marksfind the maximum marks. |
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Answer» Let the maximum marks be a Passing mark = 40 % of a => 65 + 3 = 40a / 100 => 68 = 4a/10 => 4a = 680 => a = 170 Maximum marks = 170 Hi |
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| 20. |
wash atic pohynomil shbse2- |
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Answer» (x+3) (x-1/2) x²-3x/2+3x-3/22x²+3x-3 |
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| 21. |
NhAT is ol noun |
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Answer» noun is a naming word and you means your self |
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| 22. |
Write two tractiun3srer any eight questions from 5 to 14.3 marks each)In Δ ABC, AB-7cm, AC-6cm, BC-5 cm. Construct a right triangle having samearea of Δ ABC. |
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| 23. |
EMARKS QUESIHOIWrite the given polynomial instandand form 3x2+5+2x71 |
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Answer» 3x^2 + 2x + 5 in the form of ax^2 +bx +c |
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| 24. |
youagreewithhim. Give reasons.The marks secured by Ramesh is 8 more than twice of the marksof Suresh. Write this statement in linear equation in two variables.Turn Ove |
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Answer» let Suresh score x marks so linear equation for marks of Ramesh is2x + 8 correct |
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| 25. |
w xg = O pueD (§ 4 ¥E) =0 W (2~ ¥6) = Y WO (§ - ¥ = AV पा |
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| 26. |
1.Name five pairs of congruent objects, you use daily(a) Draw two congruent figures. Are they similar? Explain(b) Take two similar shapes. If you slide rotate or flip one of them, does theremain? |
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Answer» the answer is AAA and SAS ass draw ASA and RHS triangles draw ASA and RHS triangles The congruent figures are always similarby SAS property if 2 sides and one angle is similar then the triangles are always similar Similarly is independent of flipping or rotating the object hence they will be similar |
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| 27. |
26. Prove that (sec6-âtang)e o1-sin1+sin *WO |
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| 28. |
((।IS o lohlh K BB e L2 YALo ok B 12 U6 24 WO 61(g s 12 पट हुजारLt Dl D )e iy e BB BT0: 18% 2: i 2285 |
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Answer» 1 सर्कल के त्रिज्या (आर 1) = 19 सेमी त्रिज्या (आर 2) या 2 सर्कल = 9 सेमी 3 सर्कल के त्रिज्या को आर होने दें। 1 वृत्त की परिधि = 2πr1 = 2 19 (19) = 38 circle 2 घेरे की परिधि = 2πr2 = 2 9 (9) = 18 circle 3 घेरे की परिधि = 2πr मान लीजिये, 3 घेरे की परिधि = पहली गोलाई की परिधि + दूसरी वृत्त की परिधि 2r = 38π + 18π = 56π → r = 28 CM ________answer इसलिए, वृत्त की त्रिज्या जिसमें दो परिधि के परिधि के बराबर परिधि है, 28 सेमी है |
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| 29. |
\left. \begin{array} { l } { \frac { 1.75 \times 1.75 - 0.25 \times 0.25 } { ( 1.75 + 0.25 ) } = 3 m } \\ { \frac { 599 ^ { 2 } - 104 ^ { 2 } } { m } = 660 } \end{array} \right. |
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| 30. |
)0.4683. Dissociation constants of CH,COOH and NH,OHin aqueous solution are 10 5. If pH of a CH COOHsolution is 3, What will be the pH of NH OH?(a) 3.0(c) 10.0(b) 4.0(d) 11.0 |
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Answer» a) 4.0 na reeee. |
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| 31. |
P and Q are two lamp posts. If the area of the APDCigurent the distancebetween the two lamp posts.theis same as that of the rectangle ABCD, thenP(Lamp post):16 cmEM10 cm12 cmLamp post)ormatar is 300 m. Find its area |
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| 32. |
In figure, P and Q are two lamp posts. If the areaof the APDC is same as that of the rectangle ABCD,find the distance between the two lamp posts.-P (lamp post)10cm12cmAQ (lamp post) |
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| 33. |
P and Q are two lamp posts. If the area of the APDC isIn figureind the distance between the two lamp posts.same as that of the rectangle ABCD, thenP(Lamp post)10 cm6 cm12 cm(Lamp post) |
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Answer» wrong answer |
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| 34. |
\frac{1}{27} \div \frac{1}{3^{4}} |
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| 35. |
28 + [ 6 + \{ 3 \times ( 27 \div \frac { 9 } { 5 } ) \} ] |
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| 36. |
valuate the following products without multiplying directly:) 103 x 107(ii) 95:96(ii) 104 |
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| 37. |
\left. \begin{array} { l l } { \operatorname { lg } ( x + a ) ( x + b ) = x ^ { 2 } + ( a + b ) x + } \\ { 103 \times 104 } \end{array} \right. |
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Answer» (i) (100+3)(100+4) = 100^2+(3+4)100+3×4 = 10000+700+12 = 10712(ii) (5 + 0.1)(5 + 0.2) = 52 + (0.1+0.2)5 + 0.02 = 25 + 1.5 + 0.02 = 26.52 |
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| 38. |
PAGE13देना में जी री (- जौ वाले रक्त ) (1)देता है।।।। |
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| 39. |
which is equalSo she can write it as4 ort.hor share to |
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Answer» 2/4 is the answer of the following 2/4 is the correct answer of the given question 2/4 is the answer of the given question 2/4 is the right answrr |
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| 40. |
11 A TV tower stands vertically on a bankof a canal. From a point on the otherbank directly opposite the tower, theangle of elevation of the top of thetower is 60°. From another point 20 maway from this point on the line joingthis point to the foot of the tower, theangle of elevation of the top of thetower is 30° (see Fig. 9.12). Find theheight of the tower and the width ofthe canal. |
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| 41. |
How mar sidus daes a soulos pol ggom horsidu daas a scoqulos pol ggonHou msogedan Polyon hauertoioa tot ang s24 |
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| 42. |
(1, -1), (0, 4) and (-5, 3) are vertices of a triangle. Check whether it is a scalene triangle, isoscelestriangle or an equilateral triangle. Also, find the length of its median joining the vertex (1,-1) to themid-point of the opposite side. |
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Answer» Given,A=(1,-1)B=(0,4)C=(5,-3)use image.l(AB≠BC≠CA)hence the triangle is scalene triangle |
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| 43. |
माँ नेआकSaathi,write the smallest 6 digitNumber,weite Greatest 6 digit harder |
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Answer» the smallest 6 digit number is 100000 andthe biggest six digit number is 999999 100000 , 999999 is the correct answer of the given question a. 100000 andb. 999999 smallest 6 digit no.100000greatest 6 digit no.999999 100000and 999999...... Smallest 6 digit number is 100000Greatest 6 digit number is 99999 100000 smallest999999 greatest |
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| 44. |
HARDER TO+ShIEgbol |
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Answer» 4240 is right answer of this Q 4240 is correct answer the correct answer is 4,240 plz accept my best answer 4240 is right answer 4240 is the right answer 4240 copy kr lye hum..aapka 4240 is correct answer of this question 4240 sahi answer hai............... 4240 is correct answer. 4240 is the correct answer of the given question 4240 is the correct answer 4240 the correct answer of the given question 4240 is the correct answer 4240 is right answet 4240 is the right answer on this question 4240 is the right answer 4240 is the correct answer 4240 is the right answer |
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| 45. |
REVIEN EXERCISE1. In the adjacent figure, ABC is an isosceles triangle in which AB AC. D is a point on the side of BCopposite of A, such that BD - CD. Show that AD bisects LA and D. |
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Answer» Thanx |
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| 46. |
usual form.8. Speed of sound in air is 3.3 x 104 cm/ sec. Write the speed of the souin usual form.90 |
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Answer» you search in Google Speed of sound= 3.3*10^4cm/sec33000cm/sec33km/secanswer 3.3 × 10 POWER 4 = 33000 |
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| 47. |
) p(x)=x4-3x2+4x+ 5,g(x)=x2 +1-x |
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| 48. |
Kavi fires three arrows. Eaof the following total is not possidows. Each one hits any one of a scoring ring. Which oneIs not possible?(0)(a) 16(c) 18(b)(d)1721. |
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Answer» 18 is the correct answer. |
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| 49. |
Rajdhani Express travels at a speed of 150 km/hr. What distance Rajdhani Express will cover in 15minutes? |
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Answer» it will travel in 10hours the train will travel 42.5 km in 15 minutes 37.5 km in 15 minutes |
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| 50. |
Mumbai-Delhi Rajdhani Express leaves Murnlui at 20:30 Ä°non and tro hdistance in 25 hours and 40 minutes. At what time will the train reach Delbsr |
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Answer» Hit like if you find it useful! |
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